Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C163 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^b=g^1621648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214414, #35214416, #35214419, … |
| maximal normal subgroup of | #35214414, #35214416, #35214419, … |
| maximal quotient of | #35213282, #35213297, #35213314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 585);